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Finding the Third Proportional to 19,320 and 41,191.50

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Solution

The third proportional to 19,320 and 41,191.50 is: 87,822.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,320 : 41,191.50 = 41,191.50 : x
  2. Step 2: Convert to fraction form
    19,320/41,191.50 = 41,191.50/x
  3. Step 3: Cross multiply
    19,320x = 41,191.50 × 41,191.50
  4. Step 4: Simplify right side
    19,320x = 1,696,739,672.25
  5. Step 5: Solve for x
    x = 1,696,739,672.25/19,320
  6. Step 6: Final answer
    x = 87,822.96

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.